30240869400 has 768 divisors, whose sum is σ = 125884800000. Its totient is φ = 6661992960.

The previous prime is 30240869389. The next prime is 30240869413. The reversal of 30240869400 is 496804203.

It is a happy number.

30240869400 is a `hidden beast` number, since 3 + 0 + 240 + 8 + 6 + 9 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53713519 + ... + 53714081.

It is an arithmetic number, because the mean of its divisors is an integer number (163912500).

Almost surely, 2^30240869400 is an apocalyptic number.

30240869400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30240869400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62942400000).

30240869400 is an abundant number, since it is smaller than the sum of its proper divisors (95643930600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30240869400 is a wasteful number, since it uses less digits than its factorization.

30240869400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 30240869400 in words is "thirty billion, two hundred forty million, eight hundred sixty-nine thousand, four hundred".